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In the series below, different letters stand for various mathematical operations and symbols as indicated:P : +Q : –R : ×S : ÷T : =U : >V : <Cho
Question

In the series below, different letters stand for various mathematical operations and symbols as indicated:
P : +
Q : –
R : ×
S : ÷
T : =
U : >
V : <
Choose the option which is correct according to the given operations and symbols.

A.

15 T 3 Q 4 P 4 Q 5

B.

15 U 3 R 4 P 5 P 4

C.

15 P 3 Q 4 R 4 T 5

D.

15 S 3 R 4 T 4 R 5

Correct option is D

Given:
Letter
Sign
P
+
Q
-
R
×\times
S
÷\div​​​
T
=
U
>
V
<
Logic: BODMAS
Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}​​
Let's analyze all the options:
(a) 15 T 3 Q 4 P 4 Q 5 (Incorrect)
Substituting the symbols:
15 = 3 − 4 + 4 − 5
15 =7 - 4 - 5
15\ne - 2
(b) 15 U 3 R 4 P 5 P 4 (Incorrect)
Substituting the symbols:
15 > 3 × 4 + 5 + 4
15 > 12 + 5 + 4
15 ≯ 21
(c) 15 P 3 Q 4 R 4 T 5 (Incorrect)
Substituting the symbols:
15 + 3 − 4 × 4 = 5
15 + 3 − 16 = 5
18  − 16 = 5
\ne 5​
(d) 15 S 3 R 4 T 4 R 5  (Correct)
Substituting the symbols:
15 ÷ 3 × 4 = 4 × 5
5  × 4 = 4 × 5
20  = 20 (Satisfied)
Thus, the correct option is (d) 15 S 3 R 4 T 4 R 5

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